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Finding the Fourth Proportional to 74,262.90, 102,446.56 and 42,423.42

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Solution

The fourth proportional to 74,262.90, 102,446.56 and 42,423.42 is: 58,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,262.90 : 102,446.56 = 42,423.42 : x
  2. Step 2: Convert to fraction form
    74,262.90/102,446.56 = 42,423.42/x
  3. Step 3: Cross multiply
    74,262.90x = 102,446.56 × 42,423.42
  4. Step 4: Simplify right side
    74,262.90x = 4,346,133,442.44
  5. Step 5: Solve for x
    x = 4,346,133,442.44/74,262.90
  6. Step 6: Final answer
    x = 58,523.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.